Question

1. (12,15) and (-8, -22) 14.

Explanation:

Step1: Identify coordinates

Let \((x_1,y_1)=(12,15)\), \((x_2,y_2)=(-8,-22)\)

Step2: Calculate differences

\(x_2-x_1=-8-12=-20\), \(y_2-y_1=-22-15=-37\)

Step3: Apply distance formula

\(d=\sqrt{(-20)^2+(-37)^2}=\sqrt{400+1369}=\sqrt{1769}\)

Answer:

\(\sqrt{1769}\)